STAT 200 FINAL EXAMINATION, SPRING 2017 STAT 200 FINAL EXAMINATION, | Page 4

randomly selected student takes PSYC300. (​ Show all work. Just the answer, without supporting
work, will receive no credit.)
(a) Provide a written description of the complement event of (S OR P).
(b) What is the probability of complement event of (S OR P)?
7. ​ Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is at
most 6, and B be the event that the first one is a multiple of 3.
(a) What is the probability that the sum of the two rolls is at most 6 given that the first one is a
multiple of 3? ​ Show all work. Just the answer, without supporting work, will receive no credit.
(b) Are event A and event B independent? Explain.
8. ​ Answer the following two questions. (​ Show all work. Just the answer, without supporting
work, will receive no credit).
(a) Mimi has seven books from the Statistics is Fun series. She plans on bringing three of the
seven books with her in a road trip. How many different ways can the three books be selected?
(b) UMUC Stat Club must appoint a president, a vice president, and a treasurer. There are 8
qualified candidates. How many different ways can the officers be appointed?
9​ . Let random variable ​ x ​ represent the number of heads when a fair coin is tossed two times.
(a) Construct a table describing the probability distribution.
(b) Determine the mean and standard deviation of ​ x ​ . (Round the answer to two decimal places)
10. ​ Mimi plans on growing tomatoes in her garden. She has 20 cherry tomato seeds. Based on
her experience, the probability of a seed turning into a seedling is 0.60.